Math Olympiad | A Nice Exponential Problem | 95% Failed to solve!

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[RealQinnMalloryu]

{ab+ab ➖}+{61+61 ➖ }= {ab^2+122 }= 122ab^2 10^10^22ab^2 10^10^2^11ab^2 10^10^2^11^1ab^2 2^5^2^5^2^1^1ab^2 1^1^1^1^1ab^2 1ab^2 (ab ➖ 2ab+1).